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Finding the Fourth Proportional to 352.60, 486.57 and 197.35

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Solution

The fourth proportional to 352.60, 486.57 and 197.35 is: 272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.60 : 486.57 = 197.35 : x
  2. Step 2: Convert to fraction form
    352.60/486.57 = 197.35/x
  3. Step 3: Cross multiply
    352.60x = 486.57 × 197.35
  4. Step 4: Simplify right side
    352.60x = 96,024.59
  5. Step 5: Solve for x
    x = 96,024.59/352.60
  6. Step 6: Final answer
    x = 272.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.